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Finding the Fourth Proportional to 133.27, 183.92 and 78.01

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Solution

The fourth proportional to 133.27, 183.92 and 78.01 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.27 : 183.92 = 78.01 : x
  2. Step 2: Convert to fraction form
    133.27/183.92 = 78.01/x
  3. Step 3: Cross multiply
    133.27x = 183.92 × 78.01
  4. Step 4: Simplify right side
    133.27x = 14,347.76
  5. Step 5: Solve for x
    x = 14,347.76/133.27
  6. Step 6: Final answer
    x = 107.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.